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Finding the Third Proportional to 17,271 and 36,729

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Solution

The third proportional to 17,271 and 36,729 is: 78,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271 : 36,729 = 36,729 : x
  2. Step 2: Convert to fraction form
    17,271/36,729 = 36,729/x
  3. Step 3: Cross multiply
    17,271x = 36,729 × 36,729
  4. Step 4: Simplify right side
    17,271x = 1,349,019,441
  5. Step 5: Solve for x
    x = 1,349,019,441/17,271
  6. Step 6: Final answer
    x = 78,108.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.